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Finding the Fourth Proportional to 5,783.87, 7,982.45 and 3,266.09

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Solution

The fourth proportional to 5,783.87, 7,982.45 and 3,266.09 is: 4,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.87 : 7,982.45 = 3,266.09 : x
  2. Step 2: Convert to fraction form
    5,783.87/7,982.45 = 3,266.09/x
  3. Step 3: Cross multiply
    5,783.87x = 7,982.45 × 3,266.09
  4. Step 4: Simplify right side
    5,783.87x = 26,071,428.24
  5. Step 5: Solve for x
    x = 26,071,428.24/5,783.87
  6. Step 6: Final answer
    x = 4,507.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.